Electrical Circuit Analysis Problems, Assignments of Mathematics

A series of homework problems related to electrical circuit analysis. The problems cover topics such as charge and current calculations, power analysis, and battery usage. An opportunity to apply fundamental concepts of electrical engineering, such as ohm's law, kirchhoff's laws, and power calculations, to solve practical problems. By studying this document, students can develop their problem-solving skills, deepen their understanding of electrical circuits, and prepare for exams or assignments in courses related to electrical engineering, physics, or applied mathematics.

Typology: Assignments

2018/2019

Uploaded on 03/30/2024

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Homework 1
1. The charge of an electron is
1.60 ×1019 C
. A current of 2 A flows in a wire carried by electrons. How
many electrons pass through a cross section of the wire each second?
2. The circuit element shown below has
v=15
and
iba=−3A
. What is the value of
vba
? Be sure to give the
correct algebraic sign. What is the value of
i
? Is power absorbed or delivered to the element?
3. The net charge through a cross section of a circuit element is given by
q
(
t
)
=5+4t
C. Find the current
through the element.
pf3

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Homework 1

  1. The charge of an electron is −1.60 × 10

− 19

C

. A current of 2 A flows in a wire carried by electrons. How

many electrons pass through a cross section of the wire each second?

  1. The circuit element shown below has v = 15 and

i

ba

=− 3 A

. What is the value of

v

ba

? Be sure to give the

correct algebraic sign. What is the value of i? Is power absorbed or delivered to the element?

  1. The net charge through a cross section of a circuit element is given by

q ( t )= 5 + 4 t C. Find the current

through the element.

  1. Compute the power for each element shown below. For each element, state whether power is being

absorbed by the element or supplied by it.

  1. Suppose the cost of electrical energy is $0.20 per kilowatt hour and that your electrical bill for 30 days

is $75. Assume that the power delivered is constant over the entire 30 days. What is the power in

watts? If the power is supplied by a voltage of 120V, what is the current? Part of your electrical load is

a 60W light bulb that is on continuously. By what percentage can you reduce your energy consumption

by turning the light off?